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Finding the Fourth Proportional to 33,234, 45,866.16 and 18,330

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Solution

The fourth proportional to 33,234, 45,866.16 and 18,330 is: 25,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234 : 45,866.16 = 18,330 : x
  2. Step 2: Convert to fraction form
    33,234/45,866.16 = 18,330/x
  3. Step 3: Cross multiply
    33,234x = 45,866.16 × 18,330
  4. Step 4: Simplify right side
    33,234x = 840,726,712.80
  5. Step 5: Solve for x
    x = 840,726,712.80/33,234
  6. Step 6: Final answer
    x = 25,297.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.